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1001105226 = 2321137136651
BaseRepresentation
bin111011101010111…
…010011101001010
32120202202102012100
4323222322131022
54022240331401
6243201054230
733544153062
oct7352723512
92522672170
101001105226
114741091a0
1223b327376
1312c536274
1496d583a2
155cd4db86
hex3baba74a

1001105226 has 48 divisors (see below), whose sum is σ = 2430219168. Its totient is φ = 295164000.

The previous prime is 1001105177. The next prime is 1001105243. The reversal of 1001105226 is 6225011001.

It is a super-2 number, since 2×10011052262 = 2004423347049022152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001105199 and 1001105208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61000 + ... + 75651.

It is an arithmetic number, because the mean of its divisors is an integer number (50629566).

Almost surely, 21001105226 is an apocalyptic number.

1001105226 is an abundant number, since it is smaller than the sum of its proper divisors (1429113942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001105226 is a wasteful number, since it uses less digits than its factorization.

1001105226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136707 (or 136704 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1001105226 is about 31640.2469332968. The cubic root of 1001105226 is about 1000.3682730250.

Adding to 1001105226 its reverse (6225011001), we get a palindrome (7226116227).

The spelling of 1001105226 in words is "one billion, one million, one hundred five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 136651 273302 409953 819906 1229859 1503161 2459718 3006322 4509483 5056087 9018966 10112174 13528449 15168261 27056898 30336522 45504783 55616957 91009566 111233914 166850871 333701742 500552613 1001105226